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Finding the Fourth Proportional to 242.21, 334.23 and 143.97

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Solution

The fourth proportional to 242.21, 334.23 and 143.97 is: 198.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.21 : 334.23 = 143.97 : x
  2. Step 2: Convert to fraction form
    242.21/334.23 = 143.97/x
  3. Step 3: Cross multiply
    242.21x = 334.23 × 143.97
  4. Step 4: Simplify right side
    242.21x = 48,119.09
  5. Step 5: Solve for x
    x = 48,119.09/242.21
  6. Step 6: Final answer
    x = 198.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.